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Finding the Fourth Proportional to 7,286.84, 10,933 and 4,367.24

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Solution

The fourth proportional to 7,286.84, 10,933 and 4,367.24 is: 6,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.84 : 10,933 = 4,367.24 : x
  2. Step 2: Convert to fraction form
    7,286.84/10,933 = 4,367.24/x
  3. Step 3: Cross multiply
    7,286.84x = 10,933 × 4,367.24
  4. Step 4: Simplify right side
    7,286.84x = 47,747,034.92
  5. Step 5: Solve for x
    x = 47,747,034.92/7,286.84
  6. Step 6: Final answer
    x = 6,552.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.